Separable

1. Able to be separated.
2. (mathematics, of a differential equation) Able to be brought to a form where all occurrences of the dependent and the independent variable are on opposite sides of the equal sign.
3. (mathematical analysis, of a topological space) Having a countable dense subset.
4. (mathematics, algebra) Any of several technical senses relating to the behavior of polynomials or objects over which polynomials can be defined:
   1. (of a polynomial) Having no repeated roots (where roots are considered in an algebraic closure)
      1. (Galois theory, obsolete, of a polynomial P) Such that none of the irreducible factors of P have a repeated root.
   2. (Galois theory, of an algebraic field extension E/F) Such that the minimal polynomial of every element of E is a separable polynomial.
   3. (abstract algebra, of an algebra over a ring) Satisfying any of several technical conditions on the center of the algebra which generalize the situation of field extensions; see Separable algebra on Wikipedia.

Synonyms

• Disunitable
• Separatable

Antonyms

• (antonym(s) of “able to be separated”): annexable, combinable, Inseparable